SansDomino rulespace
I've decided to tackle the core of the issue: a major contribution (or, as turns out, the major contribution) is the "domino engine". It's simple to show that in any B2 rule, any pattern with the following structure
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..OO..
The idea: let's look at rules that allow B2 for any environment except that specific one. I've so far done a sweep of almost everything from B2/S up to B24/S01234. Here's a general-purpose ruletable:
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# SansDomino
n_states:2
neighborhood:Moore
symmetries:rotate8reflect
#no B0, B1, domino
0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0
#B2 otherwise
0,1,0,1,0,0,0,0,0,1
0,1,0,0,1,0,0,0,0,1
0,1,0,0,0,1,0,0,0,1
0,0,1,0,1,0,0,0,0,1
0,0,1,0,0,0,1,0,0,1
#B3; proceed with caution
#0,1,1,1,0,0,0,0,0,1
#0,1,1,0,1,0,0,0,0,1
#0,1,1,0,0,1,0,0,0,1
#0,1,1,0,0,0,1,0,0,1
#0,1,1,0,0,0,0,1,0,1
#0,1,1,0,0,0,0,0,1,1
#0,1,0,1,0,1,0,0,0,1
#0,1,0,1,0,0,1,0,0,1
#0,1,0,0,1,0,1,0,0,1
#0,0,1,0,1,0,1,0,0,1
#B4
#0,1,1,1,1,0,0,0,0,1
#0,1,1,1,0,1,0,0,0,1
#0,1,1,1,0,0,1,0,0,1
#0,1,1,0,1,1,0,0,0,1
#0,1,1,0,1,0,1,0,0,1
#0,1,1,0,1,0,0,1,0,1
#0,1,1,0,1,0,0,0,1,1
#0,1,1,0,0,1,1,0,0,1
#0,1,1,0,0,1,0,1,0,1
#0,1,1,0,0,1,0,0,1,1
#0,1,1,0,0,0,1,1,0,1
#0,1,0,1,0,1,0,1,0,1
#0,0,1,0,1,0,1,0,1,1
#S0?
1,0,0,0,0,0,0,0,0,1
#S1?
1,1,0,0,0,0,0,0,0,1
1,0,1,0,0,0,0,0,0,1
#S2?
1,1,1,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,0
1,1,0,0,1,0,0,0,0,0
1,1,0,0,0,1,0,0,0,0
1,0,1,0,1,0,0,0,0,0
1,0,1,0,0,0,1,0,0,0
#S3?
1,1,1,1,0,0,0,0,0,0
1,1,1,0,1,0,0,0,0,0
1,1,1,0,0,1,0,0,0,0
1,1,1,0,0,0,1,0,0,0
1,1,1,0,0,0,0,1,0,0
1,1,1,0,0,0,0,0,1,0
1,1,0,1,0,1,0,0,0,0
1,1,0,1,0,0,1,0,0,0
1,1,0,0,1,0,1,0,0,0
1,0,1,0,1,0,1,0,0,0
#S4?
1,1,1,1,1,0,0,0,0,1
1,1,1,1,0,1,0,0,0,1
1,1,1,1,0,0,1,0,0,1
1,1,1,0,1,1,0,0,0,1
1,1,1,0,1,0,1,0,0,1
1,1,1,0,1,0,0,1,0,1
1,1,1,0,1,0,0,0,1,1
1,1,1,0,0,1,1,0,0,1
1,1,1,0,0,1,0,1,0,1
1,1,1,0,0,1,0,0,1,1
1,1,1,0,0,0,1,1,0,1
1,1,0,1,0,1,0,1,0,1
1,0,1,0,1,0,1,0,1,1
#S5?
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
#S6?
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
#S7?
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
#S8?
1,1,1,1,1,1,1,1,1,0
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x = 40, y = 50, rule = sansdomino
16bo2bo$16bo2bo$14b8o$9bo6bo2bo$9bo6bo2bo$o2b2o2b5o2b8o$9bo6bo2bo$9bo
6bo2bo3$2bo16bo8bo8bo$3bo3bobo11bo3bo2bo6bo3bo$o18bo8bo8bo$bo5bobo11bo
7bo$26bo$39bo2$11bo11bo13bo$2bo4b2o10b2o$35bo$o7bo3bo7bo$23bo9bo4$8bo$
5bo3bo$8bo5$8bo$9bo$5bo2bo5$3bo4bo$o8bo$3bo4bo4$o$3bo4bo$9bo$3bo4bo$o!
A very common pattern is this "methuselah" yielding two dots in 12 generations:
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x = 2, y = 3, rule = sansdomino
bo$bo$o!
A few still life / p6 spaceship collisions that seem promising for engineering:
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x = 49, y = 25, rule = sansdomino
47bo2$3bo4bo9bo14bo4bo$o8bo20bo8bo$3bo4bo24bo4bo15$17b2o$48bo2$3bo4bo
24bo4bo$o8bo20bo8bo8bo$3bo4bo24bo4bo!